Answer: The equation of the line that passes through the point (3, -8) and has a slope of -1 is x + y = -5
Explanation:
To find the equation of a line that passes through a given point and has a given slope, we can use the point-slope form of a linear equation. The point-slope form is given by y - y₁ = m(x - x₁), where (x₁, y₁) are the coordinates of the given point and m is the slope of the line 123.
In this case, the given point is (3, -8) and the slope is -1. Substituting these values into the point-slope form, we get:
y - (-8) = -1(x - 3).
Simplifying the equation, we have:
y + 8 = -x + 3.
To express the equation in standard form, we can rearrange it as:
x + y = -5.
Therefore, the equation of the line that passes through the point (3, -8) and has a slope of -1 is x + y = -5